A lifting theorem for symmetric commutants

Popescu, Gelu

doi:10.1090/s0002-9939-00-05750-6

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Cited by 3 publications

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“…some classes of bounded analytic functions in B n ). This claim is supported by the following papers: [3], [4], [46], [49], [50], [52], [53], [54], and [55].…”

Section: Introductionmentioning

confidence: 70%

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Entropy and multivariable interpolation

Popescu¹

2006

Memoirs of the AMS

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Abstract. We define a new notion of entropy for operators on Fock spaces and positive definite multi-Toeplitz kernels on free semigroups. This is studied in connection with factorization theorems for (multi-Toeplitz, multi-analytic, etc.) operators on Fock spaces. These results lead to entropy inequalities and entropy formulas for positive definite multi-Toeplitz kernels on free semigroups (resp. multi-Toeplitz operators) and consequences concerning the extreme points of the unit ball of the noncommutative analytic Toeplitz algebra F

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“…some classes of bounded analytic functions in B n ). This claim is supported by the following papers: [3], [4], [46], [49], [50], [52], [53], [54], and [55].…”

Section: Introductionmentioning

confidence: 70%

“…Let us mention that, recently, interpolation problems for F ∞ n (resp. W ∞ n ) and interpolation problems on the unit ball B n were also considered in [1], [49], [50], [52], [8], [53], [54], [55], [9], and [20] .…”

Section: Introductionmentioning

confidence: 99%